Answer:
f(0) = 2, x = - 2, x = - 1
Step-by-step explanation:
f(0) means what is the value of y when x = 0
x = 0 is a point on the y- axis
Thus when x = 0 , y = 2 , that is
f(0) = 2
(b)
The roots are the values of x on the x- axis where the graph crosses
This occurs at x = - 2 and x = - 1 ← roots
Identify one point and the slope from the equation y + 4 = 1/3(x - 1)
A. m = 4 Point = (1/3, 1)
B. m = 1/3 Point = (1,-4)
C. m = 1/3 Point = (1, 4)
D. m = 1/3 Point = (-1, 4)
Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y + 4 = [tex]\frac{1}{3}[/tex] (x - 1) ← is in point- slope form
with m = [tex]\frac{1}{3}[/tex] and (a, b ) = (1, - 4 ) → B
Answer ALL the question. Thank you
1) A toad jumps 8 times. Every time he jumps, he covers the same distance. After 8 jumps, he had traveled 96 steps. How long are his jumps?
2) Roger covers 52 steps in 1 jump and 7 steps. How many steps are equal to on of Roger's jumps?
3)Wartortle takes the same amount of time to get to 96, but he does it differently. Each of his jumps is equal to 8 of the toad's steps. How many jumps does Wartorle make?
4) Ribbbie jumped just as far as MT, 52 steps, but Rabbie did it in 3 jumps and 10 steps. How many steps are equal to one of Ribbie's jumps?
1) The toad's jumps are 12 steps long.
2) One of Roger's jumps equals 45 steps.
3) Wartortle makes 1 jump to cover 96 steps.
4) One of Ribbie's jumps is equal to 14 steps.
1) Given that a toad jumps 8 times, and every time he jumps, he covers the same distance, and after 8 jumps, he had traveled 96 steps, to determine how long are his jumps the following calculation must be performed:
96/8 = X 12 = X So, his jumps are 12 steps long.
2) Given that Roger covers 52 steps in 1 jump and 7 steps, to determine how many steps are equal to one of Roger's jumps, the following calculation must be performed:
52 - 7 = X 45 = X Thus, one of Roger's jumps equals 45 steps.
3) Since Wartortle takes the same amount of time to get to 96, but he does it differently, as each of his jumps is equal to 8 of the toad's steps, to determine how many jumps does Wartorle make the following calculation must be performed :
8 x 12 = X 96 = X 96/96 = 1 Therefore, Wartortle makes 1 jump to cover 96 steps.
4) Given that Ribbie jumped just as far as MT, 52 steps, but Ribbie did it in 3 jumps and 10 steps, to determine how many steps are equal to one of Ribbie's jumps, the following calculation must be performed:
(52 - 10) / 3 = X 42/3 = X 14 = X Therefore, one of Ribbie's jumps is equal to 14 steps.
Learn more in https://brainly.com/question/19634148
-1.3(x+3)-12.4=-24.1
Answer:
6.02
Step-by-step explanation:
Answer:
x=-12
Step-by-step explanation
1.3x+3.9-12.4=-24.1
1.3x+3.9=-11.7
1.3x=-15.6
x=-12
If f(1) = 5 and f(n) = 4f(n − 1) - 2 then find the value of f(5).
Hi,
This is the same situation as a sequence case.
You have two informations :
[tex]\left \{ {{f(1)=5} \atop {f(n)=4f(n-1)-2}} \right.[/tex]
You need to solve this rank by rank for n = 1, 2, 3, 4 and 5.
We already have f(n) for n = 1 : it is f(1) = 5.
n = 2 :
f(2) = 4 * f(2-1) - 2 = 4 * f(1) - 2 = 4 * 5 - 2 = 20 - 2 = 18 because f(1) = 5
n=3 :
f(3) = 4 * f(3-1) -2 = 4 * f(2) -2 = 4 * 18 -2 = 72 - 2 = 70
n = 4 :
f(4) = 4 * f(4-1) -2 = 4* f(3) - 2 = 4* 70 - 2 = 280 - 2 = 278
n = 5 :
f(5) = 4 * f(5-1) - 2 = 4*f(4) - 2 = 4 * 278 - 2 = 1112 - 2 = 1110
so f(5) = 1110
Good Luck
A construction worker measures the amount of cement in a cement truck every 5 minutes as it empties. The table shows the data What is the rate of change for the volume of cement in the truck?
the rate of change of the amount of cement is:
Answer:
35
Step-by-step explanation:
210 - 175 = 35
175 - 140 = 35
140 - 105 = 35
105 - 70 = 35
I hope this helps!
Ab= 14
Co=8
OD=3
Find ob
OB be x
[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]
[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]
[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]
[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]
[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]
[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]
[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]
[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]
Round 2.37 to one decimal place.
2.4
When rounding, look at the next number. If the next number is 4 or less, the previous number stays the same. If it is 5 or more, the previous number rounds up by 1.
In this case, 7 is greater than 5 so you round 3 up to 4 getting 2.4
16. The measures of the acute angles of a right triangle have a ratio of 2 :7.
What is the measure of the smaller angle?
Answer:
The smaller angle is 20 degrees.
Step-by-step explanation:
A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.
Say that the angles have 2x and 7x length:
2x+7x=90
9x=90
x=10
Hence the acute angles have degrees 2*10=20, 7*10=70.
The smaller angle is 20 degrees.
Hope this was helpful!
A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953. Assume that σ = $463,364. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach.
$346,352 < μ < $485,554
$295,433 < μ < $536,473
$272,355 < μ < $559,551
$415,952 < μ < $415,954
Answer:
ci = [271,953 , 559,953]
Step-by-step explanation:
x = mean: $415953
z = 95% : z value of 95% is 1.960
s = standard deviation = $463364
n = number of observations: 40
X +- Z * S/sqrt N
415953 + - 1.96 * 463364/sqrt40
= 415953 + - 144000
[271,953 , 559,953]
Answer:
$272,355 <μ< $559,551
Step-by-step explanation:
Gradpoint
what are complementry angles
Answer:
either of two angles whose sum is 90°
Hello there! :)
Complementary angles are angles that add up to 90 degrees.
Example:
34 and 56 are complementary angles.
Hope this helps!
~Just a gloomy teen
#CarryOnLearning
[tex]SilentNature \\:([/tex]
At Abdul’s Swimwear, 85% of the 60 swimsuit styles are bikinis. How many bikini styles are there?
Find the least common multiple of: 2v^2y^7 and 11v^4y^8x^3
Answer:
2v6y719x3
Step-by-step explanation:
(1): "x3" was replaced by "x^3". 2 more similar replacement(s).
STEP 1
Equation at the end of step 1
(((2v2 • y711) • v4) • y8) • x3
STEP 2
Final result :
2v6y719x3
Can some one help me with this simple project GIVING EXTRA BRAINLIST!!!!
Okay,
Im not going to do the project because you draw that but, ill give an online overview of ur "project."
Evaluate the formula t=
x−μ
s
n when μ=117, n=28, x=113, and
Work Shown:
[tex]t = \frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}\\\\t = \frac{113-117}{\frac{11}{\sqrt{28}}}\\\\t \approx \frac{-4}{\frac{11}{5.291503}}\\\\t \approx \frac{-4}{2.078804}\\\\t \approx -1.924183\\\\t \approx -1.924\\\\[/tex]
In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = 4/3x - 3
Step-by-step explanation:
1. Find two pints on the line: ((3,1) and (6, 5).
2. Find the slope: Slope = (change in y-values)/(change in the x-values).
Slope = (5 - 1)/(6 - 3) = 4/3
3. Use the slope and one point and substitute into y = mx + b to solve for "b"
y = mx + b slope = 4/3 and point (3, 1)
1 = 4/3(3) + b 4/3 · 3/1 = 12/3 = 4
1 = 4 + b
1 - 4 = b
-3 = b
4. Write the equation of the line: m = 4/3 and b = -3 Substitute into y = mx + b
y = 4/3x - 3
If you need to cut 5 pieces of fabric a 14 feet length, how long should each piece be?
Answer:
I think by mental math it would be 2.8 feet.
Step-by-step explanation:
13. On a snow day, the temperature at 8 AM was 2°F. Later in the day the temperature rose 6º. What was the resulting temperature?
The resulting temperature was 8°F.
Which term of the arithmetic sequence 1, 5, 9, 13, ... is 169?
It is the
th term.
Answer:
43rd term
Step-by-step explanation:
Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.
So, (169-1)/4=42.
This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!
What is the value of C that will make the expression a perfect square trinomial? x2−10/3x+C
Answer:
C = 25/9
Step-by-step explanation:
Consider the perfect square trinomial ...
(x -a)² = x² -2ax +a²
The constant (a²) is the square of half the x-coefficient.
For your trinomial, the square of half the x-coefficient is ...
C = ((-10/3)(1/2))² = (5/3)² = 25/9
O is the centre of the circle. Determine the value of s to the nearest tenth, if necessary.
a) 6.7
b) 7
c) 77
d) 9.2
Is -51/5 rational or irrational
A store buys 14 sweaters for $154 and sells them for $448. How much profit does the store make per sweater?
Answer:
Profit = $21
Step-by-step explanation:
14 sweaters = $154
Cost of 1 Sweater = 154 ÷ 14
= $11
New Cost for 14 Sweaters = $448
New Cost of 1 Sweater = 448 ÷ 14
= $32
Profit Per Sweater = 32 - 11
= $21
Full Profit = 448 - 154
= $294
Answer:
21
Step-by-step explanation:
21
helpppppppppppppppppppppppppppppppppppppppppp
Answer:
The answer is G which is 16.
Step-by-step explanation:
To solve the problem multiply 25/125 times 80.
Please man, I need this answer as fast as possible. Thank You!!!!
Answer:
-5f
and
2g
Step-by-step explanation:
What are the variables in the equation 2x - 10 + 5y?
Can someone help me with this
Answer:
1. so the express of the shaded region would be
10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x
so 60x-8x
2.
the perimeter is 6*2 bc two sides so 12
and 10x *2 bc two sides 20
so 20x+12 would be the perimeter
x =
12
9
6 2/3
help me out please you guys are awesome ^-^
the answer is x = 6 2/3
ok done. Thank to me :>
what is the total length of the two ladders 11.4 ft. 5.8ft.
Answer:
17.2ft
Step-by-step explanation:
just add
11.4+5.8=17.2
A savings account increases from 150$ to 153$. What is the percent increase of the savings account?
Answer:
The correct answer would be 2.00%
can someone help me solve questions 29-31 pls
Answer:
100.
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